Workshop
Matrix factorisations and related topics
Jul 24, 2017 - Jul 28, 2017
ICMS 15 South College Street
Organisers
Name | Institution |
---|---|
Kalck, Martin | University of Edinburgh |
Wemyss, Michael | University of Glasgow |
Dirac used matrix factorisations in his seminal work on the electron (1920s). Since then matrix factorisations have percolated deep into many areas of mathematics and theoretical physics. They underpin many of the modern advances in algebraic geometry, commutative algebra, noncommutative geometry and string theory, and the aim of this workshop is to bring together some of the leading experts in these areas, and to provide a forum in which to discuss some of the latest developments.
Building on previous meetings held in Bielefeld in 2011 and in Oberwolfach in 2013, this workshop will specifically focus on the following topics and recent advances:
1. Knörrer's periodicity: new interpretations and generalisations.
2. NCCRs: large scale recent advances in the construction of non-commutative crepant resolutions (NCCRs), and the corresponding relationship to algebraic geometry.
3. Derived matrix factorisations, generalisations of Orlov's theorem and application to variation of GIT and homological projective duality.
4. New applications from matrix factorisations (through Gorenstein projective modules) to cluster algebras and cluster categories.
5. Matrix factorisations in string theory, and applications to NCCRs, GIT and duality.
Photographs from this workshop are now available on our Flickr pages.
We gratefully acknowledge support by the EPSRC Postdoctoral Fellowship EP/L017962/1.
Arrangements
INVITED SPEAKERS: Invited speakers were sent an invitation email from ICMS, on behalf of the scientific organisers, in November 2016.
PUBLIC APPLICANTS: The deadline for applications was Friday 28 April 2017. All applicants have been informed of decisions.
Venue
The workshop will be held at ICMS, 15 South College Street, Edinburgh.
UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one.
Travel
Information about travel to the UK and Edinburgh is available here.
Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies that may occur on your trip.
A taxi directly from the airport will cost approximately 20.00 to 25.00 GBP to the city centre for a one-way journey. There is also a bus service direct from the airport to the city centre which will cost 4.50 GBP single or 7.50 GBP return - the Airlink 100. This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above).
Lothian buses charge £1.60 for a single, £4.00 for a day ticket. Please note that the exact fare is required and no change is given.
If travelling by train, please note that Edinburgh has several railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street. If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge. The second large railway station is called Haymarket and is at the West End of the city centre. Please be aware that there is also an Edinburgh Park railway station but this is at the west side of the city some way from the city centre. For ICMS, use Edinburgh Waverley.
Programme
This is a provisional programme and may be subject to alteration.
Monday 24 July 2017
09:00-09:30 | Registration and coffee/tea in the Chapterhouse, Level 1 |
09:30-10:30 | Michael Brown (Hausdorff Center for Mathematics, Bonn) |
10:30-11:15 | Coffee/tea in the Chapterhouse, Level 1 |
11:15-12:15 | Greg Stevenson (University of Glasgow) |
12:15-13:30 | Lunch provided in the Chapterhouse, Level 1 |
13:30-14:30 | David Ploog (Freie Universität Berlin) |
14:45-15:45 | Joseph Karmazyn (University of Sheffield) |
15:45-16:30 | Coffee/tea in the Chapterhouse, Level 1 |
16:30-17:30 | Wahei Hara (Waseda University) |
18:00-19:30 | Science ceilidh and wine reception in the Chapterhouse, Level 1 |
Tuesday 25 July 2017
09:30-10:30 | Hailong Dao (University of Kansas) |
10:30-11:15 | Coffee/tea in the Chapterhouse, Level 1 |
11:15-12:15 | Graham Leuschke (Syracuse University) |
12:15-13:30 | Lunch provided in the Chapterhouse, Level 1 |
13:30-14:30 | Igor Burban (University of Cologne) |
14:30-15:45 | Ana Ros Camacho (Universiteit Utrecht) |
15:45-16:30 | Coffee/tea in the Chapterhouse, Level 1 |
16:30-17:30 | Atsushi Takahashi (Osaka University) |
17:30-19:00 | doors open to public: 17.45 |
19:00-20:00 | Informal wine reception in the Chapterhouse, Level 1 |
Wednesday 26 July 2017
09:00-10:00 | Will Donovan (Kavli IPMU, University of Tokyo) |
10:00-11:00 | Ed Segal (Imperial College London) |
11:00-11:30 | Coffee/tea in the Chapterhouse, Level 1 |
11:30-12:30 | Yuki Hirano (Kyoto University) |
12:30-12.35 | Group photograph to be taken at the front entrance |
12:35 onwards | Free afternoon |
Thursday 27 July 2017
09:30-10:30 | Spela Spenko (Vrije Universiteit Brussels) |
10:30-11:30 | Coffee/tea in the Chapterhouse, Level 1 |
11:30-12:30 | Olaf Schnürer (University of Bonn) |
12:30-13:30 | Lunch in the Chapterhouse, Level 1 |
13:30-14:30 | Colin Ingalls (University of New Brunswick) |
14:45-15:45 | Eleonore Faber (University of Michigan) |
15:45-16:30 | Coffee/tea in the Chapterhouse, Level 1 |
16:30-17:30 | Theo Raedschelders (Free University of Brussels) |
17:30-19:00 | free time |
19:00 | Workshop dinner at Blonde Restaurant, St Leonard's Street, Edinburgh (see map) |
Friday 28 July 2017
09:30-10:30 | Karin Baur (University of Graz) |
10:45-11:45 | Alastair King (University of Bath) |
11:45-13:15 | Lunch in the Chapterhouse, Level 1 |
13:15-14:15 | Osamu Iyama (Nagoya University) |
14:30-15.30 | Ragnar-Olaf Buchweitz (University of Toronto Scarborough) |
15:30 | Close of workshop |
Presentations:
Presentation Details | |
---|---|
Baur, Karin | |
Dimer models with boundary and Grassmannian cluster categories | |
View Abstract | |
Brown, Michael | |
Topological K-theory of matrix factorization categories | |
View Abstract | |
Buchweitz, Ragnar-Olaf | |
Matrix factorisations of Cubics | |
View Abstract | |
Burban, Igor | |
Cohen-Macaulay modules and Calogero-Moser systems | |
View Abstract | |
Dao, Hailong | |
On rigid MCM modules | |
View Abstract | |
Donovan, Will | |
Perverse sheaves of triangulated categories and Bridgeland stability | |
View Abstract | |
Faber, Eleonore | |
Matrix factorisations of discriminants of reflection groups | |
View Abstract | |
Hara, Wahei | |
Mukai flops and P-twists via non-commutative crepant resolutions | |
View Abstract | |
Hirano, Yuki | |
Relative singular locus and matrix factorisations | |
View Abstract | |
Ingalls, Colin | |
Noncommutative curves of finite representation type | |
View Abstract | |
Iyama, Osamu | |
Geigle-Lenzing complete intersections and Tate resolutions | |
View Abstract | |
Karmazyn, Joseph | |
Knörrer periodicity for cyclic quotient surface singularities | |
View Abstract | |
King, Alastair | |
Quivers and Conformal Field Theory : preprojective algebras and beyond | |
View Abstract | |
Leuschke, Graham | |
A generalization of Knorrer periodicity, with applications to noncommutative hypersurfaces | |
View Abstract | |
Ploog, David | |
Tilting chains of negative curves on surfaces | |
View Abstract | |
Raedschelders, Theo | |
Frobenius pushforwards on Grassmannians G(2,n) | |
View Abstract | |
Ros Camacho, Ana | |
Matrix factorisations and the Landau-Ginzburg/conformal field theory correspondence | |
View Abstract | |
Schnürer, Olaf | |
Motivic measures via matrix factorizations and motivic vanishing cycles | |
View Abstract | |
Segal, Ed | |
Hori Duality | |
View Abstract | |
Spenko, Spela | |
Frobenius morphism in invariant theory | |
View Abstract | |
Stevenson, Greg | |
Thick subcategories for graded hypersurfaces | |
View Abstract | |
Takahashi, Atsushi | |
Matrix factorisations and orbifold Jacobian algebras | |
View Abstract |
Participants
Name | Institution |
---|---|
August, Jenny | University of Edinburgh |
Baur, Karin | University of Graz |
Bayer, Arend | University of Edinburgh |
Bodzenta, Agnieszka | University of Edinburgh |
Booth, Matt | University of Edinburgh |
Brown, Michael | Hausdorff Center for Mathematics, Bonn |
Buchweitz, Ragnar-Olaf | University of Toronto Scarborough |
Burban, Igor | University of Cologne |
Dao, Hailong | University of Kansas |
Donovan, Will | Kavli IPMU, University of Tokyo |
Faber, Eleonore | University of Michigan |
Gratz, Sira | University of Glasgow |
Hara, Wahei | Waseda University |
Hardiman, Leonard | University of Bath |
Hirano, Yuki | Kyoto University |
Ingalls, Colin | University of New Brunswick |
Iyama, Osamu | Nagoya University |
Kalck, Martin | University of Edinburgh |
Karmazyn, Joseph | University of Sheffield |
Kędzierski, Dawid | Szczecin University |
King, Alastair | University of Bath |
Kluck, Timo | Universiteit Utrecht |
Lekili, Yanki | Kings College London |
Leuschke, Graham | Syracuse University |
Meachan, Ciaran | University of Glasgow |
Meltzer, Hagen | Szczecin University |
Nakajima, Yusuke | Kavli IPMU |
Pavic, Nabojsa | University of Sheffield |
Ploog, David | Freie Universität Berlin |
Raedschelders, Theo | Free University of Brussels (VUB) |
Rezaee, Fatemeh | University of Edinburgh |
Rizzardo, Alice | University of Edinburgh |
Ros Camacho, Ana | Universiteit Utrecht |
Schnürer, Olaf | University of Bonn |
Segal, Ed | Imperial College London |
Spenko, Spela | Vrije Universiteit Brussels |
Stevenson, Greg | University of Glasgow |
Takahashi, Atsushi | Osaka University |
Thibault, Louis-Philippe | Norwegian University of Science and Technology |
Wemyss, Michael | University of Glasgow |
Wong, William | TU Kaiserslautern |